NZ Level 5
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Misrepresentation of Results

Interactive practice questions

Lachlan asks $120$120 Year 12 students at his school how much time they spend on homework per night. $78$78 Year 12 students say they do more than $3$3 hours. At a meeting of the student council Lachlan reports "$65%$65% of students at this school do too much homework.

Which of the following explain why this is misleading?

The survey does not represent the population of the school.

A

The question should have been multiple choice.

B

The question was biased.

C

The sample size was too small.

D

The survey does not represent the population of the school.

A

The question should have been multiple choice.

B

The question was biased.

C

The sample size was too small.

D
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How does this graph misrepresent the statistics?

Choose all appropriate options.

A newspaper states: "Oil prices have risen by $33%$33% over the last two years."

In the article it states that in 2010 the oil prices increased by $10%$10% and in 2011 the oil price increased by $23%$23%.

An online company asks all its customers to complete a survey and $58%$58% respond. In the survey there was a question which asked “How happy are you with our service?”. Respondents could tick either “Very Happy” or “Somewhat Happy”.

In their annual newsletter the company wrote an article reporting “$100%$100% of customers are happy with our service”.

Outcomes

S5-1

Plan and conduct surveys and experiments using the statistical enquiry cycle:– determining appropriate variables and measures;– considering sources of variation;– gathering and cleaning data;– using multiple displays, and re-categorising data to find patterns, variations, relationships, and trends in multivariate data sets;– comparing sample distributions visually, using measures of centre, spread, and proportion;– presenting a report of findings

S5-2

Evaluate statistical investigations or probability activities undertaken by others, including data collection methods, choice of measures, and validity of findings

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